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Minimal multi-functional observers for linear systems using a direct approach
conference contribution
posted on 2015-11-04, 00:00 authored by Reza Mohajerpoor, Hamid AbdiHamid Abdi, Saeid NahavandiThe direct approach in designing functional observers was first presented in [1] for estimating a single function of the states of a Linear Time-Invariant (LTI) system. One of the benefits of the direct scheme is that it does not require solving the interconnected Sylvester equations that appear in the other observer design approaches. In the present paper, the direct approach is extended to reconstruct multiple functions of the states in such a way that the minimum possible order of the observer is achieved. The observer is designed so that an asymptotic functional observer can be obtained with arbitrary convergence rate. In the proposed methodology, it is not necessary that a reduced order observer exists for the desired functions to be estimated. To release this limitation, an algorithm is employed to find some auxiliary functions in the minimum required number to be appended to the desired functions. This method assumes that the system is functional observable. This assumption however is less restrictive than the observability and detectability conditions of the system. A numerical example and simulation results explain the efficacy and the benefits of the proposed algorithm.
History
Event
IEEE Conference on Control and Applications (2015: Sydney, N.S.W.)Pagination
1266 - 1271Publisher
IEEELocation
Sydney, N.S.W.Place of publication
Piscataway, N.J.Publisher DOI
Start date
2015-09-21End date
2015-09-23ISBN-13
9781479977871Language
engPublication classification
E Conference publication; E1 Full written paper - refereedCopyright notice
2015, IEEETitle of proceedings
CCA 2015: Proceedings of the 2015 IEEE Conference on Control and ApplicationsUsage metrics
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